Staff Selection Commission Combined Graduate Level Exam
Question : Simplify the following. $\frac{0.01 \times 0.01 \times 0.01+0.003 \times 0.003 \times 0.003}{0.05 \times 0.05 – 0.015 \times 0.05 + 0.015 \times 0.015}$
Option 1: $\frac{13}{25} \times 10^3$
Option 2: $\frac{13}{15} \times 10^{–3}$
Option 3: $\frac{13}{15} \times 10^3$
Option 4: $\frac{13}{25} \times 10^{–3}$
Correct Answer: $\frac{13}{25} \times 10^{–3}$
Solution : Given: $\frac{0.01 \times 0.01 \times 0.01+0.003 \times 0.003 \times 0.003}{0.05 \times 0.05–0.015 \times 0.05 + 0.015 \times 0.015}$ Converting it into the form, $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$. = $\frac{(0.01 + 0.003)((0.01)^2 – 0.01\times0.003 + (0.003)^2)}{25\times((0.01)^2 –
Question : Select the most appropriate meaning of the underlined idiom.
Do not beat about the bush when you have anything to say.
Option 1: To try to influence.
Option 2: To shift blame on others.
Option 3: To argue.
Option 4: To avoid giving a definite answer or position.
Correct Answer: To avoid giving a definite answer or position.
Solution : The correct choice is the fourth option.
Beating about the bush means to speak evasively, indirectly, or vaguely, often to avoid addressing a topic directly. The idiom implies that one should be concise and to the point
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
Once emerged business is clearly defence manufacturing, and hence the group has tied up with global defence companies for starting production in India.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
Explanation: The phrase "once emerged business" means a business that appeared in the past, which should be replaced with "one emerging business", making the explanation of the sentence as defence manufacturing is the emerging sector for business.
Question :
What happens to a person who receives the wrong type of blood?
Option 1:
All the arteries constrict
Option 2:
All the arteries dialates
Option 3:
The RBCs agglutinate
Option 4: The spleen and lymphnodes deteriorate
Correct Answer:
Solution : The correct option is The RBCs agglutinate
If a person gets blood with antigens recognised by their immune system as foreign, their antibodies may react with the donor's red blood cells (RBCs). This can result in agglutination, or the clumping of RBCs. Agglutinated
Question : The orthocentre of an obtuse-angled triangle lies:
Option 1: Inside the triangle
Option 2: Outside the triangle
Option 3: On one side of a triangle
Option 4: None of these
Correct Answer: Outside the triangle
Solution : The orthocentre of an obtuse-angled triangle lies outside the triangle. Hence, the correct answer is 'Outside the triangle'.
Question : The chemical that is used to ripen mangoes is
Option 1: calcium sulphide
Option 2: calcium carbide
Option 3: calcium carbonate
Option 4: calcium chloride
Correct Answer: calcium carbide
Solution : The correct option is Calcium carbide.
Calcium carbide is a chemical that has traditionally been used to artificially ripen fruits such as mangoes. When calcium carbide comes into contact with moisture, it emits Acetylene gas, which can hasten fruit ripening. However, due to
Question : Three numbers are in the ratio $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$. If the difference between the greatest number and the smallest number is 33, then the HCF of the three numbers is:
Option 1: 9
Option 2: 5
Option 3: 13
Option 4: 11
Correct Answer: 11
Solution : Let the three numbers as $x$, $y$, and $z$. Given that the numbers are in the ratio $⇒\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$. $x : y : z = \frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ Multiply all the ratios by the least common multiple (LCM) of 2,
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Ramu (never) makes at least a century each time he plays cricket.
(1) seldom
(2) forever
(3) always
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option.
"Always" is the most suitable option to convey the idea that Ramu consistently achieves at least a century each time he plays cricket. "Always" means all the time or consistently, which aligns with the meaning intended
Question : P and Q together can complete a piece of work in 6 days. If P can alone complete the work in 18 days, the number of days required for Q to finish the work is:
Option 1: 10 days
Option 2: 8 days
Option 3: 11 days
Option 4: 9 days
Correct Answer: 9 days
Solution : P and Q together can complete a task in 6 days. P can alone complete the work in 18 days. Work done by P in 1 day = $ \frac{1}{18}$ $\therefore$ Work done by Q in 1 day = $\frac{1}{6} – \frac{1}{18}= \frac{3 –
Question : The minimum age limit for the membership of the Vidhan Parishad as of 2017 is ___________.
21 years
25 years
30 years
Option 4: 35 years
Solution : The correct option is 30 years.
The minimum age requirement for membership in the Vidhan Parishadas of 2017 is 30 years. This is outlined in Article 173 of the Constitution of India. Following the bicameral state legislature, six states have Vidhan Parishad: Uttar Pradesh,
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